The formula for a z-score is

We don't have μ, the mean, or σ, the standard deviation. We can, however, set up a system of two equations with the information we do have. We know:

We can make this look more like a "typical" system of equations by cancelling the fractional part of each equation. We do this by multiplying the bottom of each equation by σ:

Now we'll get the variables on the same side of the equation. We'll do this by adding μ to both sides:

Now we'll write this vertically:

We will "eliminate" μ by subtracting the bottom equation:

Divide both sides by -5:

Our standard deviation is 5. Substituting this into our top equation we have:
-3(5)+μ=60
-15+μ=60
Cancel the -15 by adding it to both sides:
-15+μ+15=60+15
μ=75
Our mean is 75.
<span>A cube Has 6 sides.So,n(A)=6={1,2,3,4,5,6} Probability to getting number 4 in a cube is Event A. n(s)=1 Probability of event A that occurs : P(A) = 1/6. P(A)=0.167 Probability of event A that does not occur P(A') = 1 - 0.167 =0.833 Probability to getting number 4 in a cube is 0.167</span>
You have the following equation for the cost of renting a car for x number of miles driven:
y = 0.15x + 65
If you travel 70 miles, then, x = 70 and you obtain for the cost y:
y = 0.15(70) + 65
y = 10.5 + 65
y = 75.5
Hence, the cost of renting a car to drive 70 miles is $75.5
using pythagorean theorem
a^2 + b^2 =c^2
a^2 +8^2 =14^2
a^2 +64 = 196
subtract 64 from each side
a^2 = 132
take the square root of each side
a^2 = sqrt (132)
a=11.48912529
a =11.5